What is the limit as x approaches 0 of (9x^4)/(5x^4)-12 ?

The limit as x approaches 0 of (9x^4)/(5x^4)-12 is -51/5

limit as x approaches 0 of (9x^4)/(5x^4)-12

x \to 0 lim (\frac{9 x ^{4}}{5 x ^{4}} - 12)

- \frac{51}{5}

Decimal

- 10.2

Solution steps

x \to 0 lim (\frac{9 x ^{4}}{5 x ^{4}} - 12)

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

= x \to 0 lim (\frac{9 x ^{4}}{5 x ^{4}}) - x \to 0 lim (12)

x \to 0 lim (\frac{9 x ^{4}}{5 x ^{4}}) = \frac{9}{5}

x \to 0 lim (12) = 12

= \frac{9}{5} - 12

Simplify

\frac{9}{5} - 12 : - \frac{51}{5}

= - \frac{51}{5}

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What is the limit as x approaches 0 of (9x^4)/(5x^4)-12 ?
The limit as x approaches 0 of (9x^4)/(5x^4)-12 is -51/5